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Parallel-Axis Theorem Proof and moment of inertia explanation (simple method physics)

Parallel-Axis Theorem Proof and definition along with moment of inertia lecture Moment of Inertia  It is a rotating body's resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its perpendicular distance from the axis of rotation For a simple pendulum, this definition yields a formula for the moment of inertia (𝐼) in terms of the mass 𝑚 of the pendulum and its distance 𝑟 from the pivot point as I=mr^2 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑠ℎ𝑎𝑝𝑒𝑠 ℎ𝑎𝑣𝑒 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑚𝑜𝑚𝑒𝑛𝑡 𝑜𝑓 𝑖𝑛𝑒𝑟𝑡𝑖𝑎𝑠 Parallel-Axis Theorem The parallel axis theorem states that if the body is made to rotate instead about a new axis z′ which is parallel to the first axis and displaced from it by a distance d, then the moment of inertia I with respect to the new axis is related to Icm by 𝐼=𝐼+𝑚𝑑^2 Explicitly, d is the perpendicular distance between the axes z and z′. #parallelaxistheorem #momentofinertia #physics #lawsofnewton #centerofmass

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